Pith Number

pith:4HUPJFXQ

pith:2018:4HUPJFXQAFWL4NZEUOIPFPESP2

not attested not anchored not stored refs pending

Separators for Planar Graphs that are Almost Trees

Linda Cai, Sariel Har-Peled, Simiao Ye

arxiv:1808.02815 v1 · 2018-08-08 · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HUPJFXQAFWL4NZEUOIPFPESP2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:08:32.129961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1e8f496f0016cbe3724a390f2bc927e95485254d38aaa714ff8b670c8c26a94

Aliases

arxiv: 1808.02815 · arxiv_version: 1808.02815v1 · doi: 10.48550/arxiv.1808.02815 · pith_short_12: 4HUPJFXQAFWL · pith_short_16: 4HUPJFXQAFWL4NZE · pith_short_8: 4HUPJFXQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4HUPJFXQAFWL4NZEUOIPFPESP2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e1e8f496f0016cbe3724a390f2bc927e95485254d38aaa714ff8b670c8c26a94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f2ed7f5c0efef743df9d6f9f9bfcac5e89a05b7a3f7699615c22f8f5fc93930",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-08-08T15:16:48Z",
    "title_canon_sha256": "b993fc2f9566b9905cf02f1eb4976b39bb11baf736d940189512a6fd21c58d15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02815",
    "kind": "arxiv",
    "version": 1
  }
}